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Sculpture depicting Rishabhanatha, the first Arihant of the present half cycle of time moving over lotus after attaining omniscience. Arihant (Jain Prakrit: अरिहन्त, Sanskrit: अर्हत् arhat, lit. 'conqueror') is a jiva who has conquered inner passions such as attachment, anger, pride and greed.
In linear algebra, the adjugate or classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. [1] [2] It is occasionally known as adjunct matrix, [3] [4] or "adjoint", [5] though that normally refers to a different concept, the adjoint operator which for a matrix is the conjugate transpose.
In algebra, the theory of equations is the study of algebraic equations (also called "polynomial equations"), which are equations defined by a polynomial.The main problem of the theory of equations was to know when an algebraic equation has an algebraic solution.
The Joint Entrance Examination – Advanced (JEE-Advanced) (formerly the Indian Institute of Technology – Joint Entrance Examination (IIT-JEE)) is an academic examination held annually in India that tests the skills and knowledge of the applicants in physics, chemistry and mathematics.
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."
The title page of Elements of Algebra. Elements of Algebra is an elementary mathematics textbook written by mathematician Leonhard Euler around 1765 in German. It was first published in Russian as "Universal Arithmetic" (Универсальная арифметика), two volumes appearing in 1768-9 [1] and in 1770 was printed from the original text.
The Leavitt path algebra corresponding to , denoted by (), is defined to be the -algebra generated by a Cuntz–Krieger -family that is universal in the sense that whenever {,,:,} is a Cuntz–Krieger -family in a -algebra there exists a -algebra homomorphism : with () = for all , () = for all , and () = for all .
Allen's interval algebra is a calculus for temporal reasoning that was introduced by James F. Allen in 1983. The calculus defines possible relations between time intervals and provides a composition table that can be used as a basis for reasoning about temporal descriptions of events.
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